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Finding the Fourth Proportional to 33,198.15, 49,793.12 and 13,457.74

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Solution

The fourth proportional to 33,198.15, 49,793.12 and 13,457.74 is: 20,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198.15 : 49,793.12 = 13,457.74 : x
  2. Step 2: Convert to fraction form
    33,198.15/49,793.12 = 13,457.74/x
  3. Step 3: Cross multiply
    33,198.15x = 49,793.12 × 13,457.74
  4. Step 4: Simplify right side
    33,198.15x = 670,102,862.75
  5. Step 5: Solve for x
    x = 670,102,862.75/33,198.15
  6. Step 6: Final answer
    x = 20,184.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.